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Finding the Fourth Proportional to 9,783.90, 14,642.91 and 8,974.62

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Solution

The fourth proportional to 9,783.90, 14,642.91 and 8,974.62 is: 13,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.90 : 14,642.91 = 8,974.62 : x
  2. Step 2: Convert to fraction form
    9,783.90/14,642.91 = 8,974.62/x
  3. Step 3: Cross multiply
    9,783.90x = 14,642.91 × 8,974.62
  4. Step 4: Simplify right side
    9,783.90x = 131,414,552.94
  5. Step 5: Solve for x
    x = 131,414,552.94/9,783.90
  6. Step 6: Final answer
    x = 13,431.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.